. >> reporter: a tiny british ruled island off south america invaded by original -- argentina in 1982. the british sent troops and warships to overtake it, but behind the scenes there was conflict with mr. reagan urging her to negotiate a truce which she angrily rejected and her asking for his support. you are the only person who will understand. she was not always happy with his responses describing one of his late night messages regarding the falklands invasion as so vague i didn't think it was worth reading, but one letter shows the woman the british nicknamed the iron lady could have a velvet side adding a p.s. to the president who was a bit under the weather. warm personal regards and a rapid recovery to full health and strength. the world needs you. yours sincerely margaret thatcher. the doubts released by britain's national archives also show the president's advisors asking their british counterparts for fashion advice about what mr. reagan should wear for a horseback ride with the queen during a june, 1982 visit. the answer, smart but casual, not formal riding attire, advice t